1881116640 has 576 divisors, whose sum is σ = 7667726976. Its totient is φ = 415236096.

The previous prime is 1881116621. The next prime is 1881116683. The reversal of 1881116640 is 466111881.

1881116640 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 1 + 1 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1881116595 and 1881116604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7319392 + ... + 7319648.

It is an arithmetic number, because the mean of its divisors is an integer number (13312026).

Almost surely, 2^1881116640 is an apocalyptic number.

1881116640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1881116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833863488).

1881116640 is an abundant number, since it is smaller than the sum of its proper divisors (5786610336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1881116640 is a wasteful number, since it uses less digits than its factorization.

1881116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1881116640 is about 43371.8415564753. The cubic root of 1881116640 is about 1234.4454645156.

The spelling of 1881116640 in words is "one billion, eight hundred eighty-one million, one hundred sixteen thousand, six hundred forty".